Vector Triple Product Formula
The vector triple product involves three vectors: , , and . The formula is .
Cross Product of and : First, find the cross product of and .
Multiply by : Take this result and perform a cross product with .
Resulting Vector: The final vector obtained is coplanar with and and perpendicular to .
This formula can also be expressed as a linear combination of and :
This means the triple product result can be written as a combination of and , where (x) and (y) are coefficients.
Now, the vector triple product formula is,
Vector Triple Product
Vector Triple Product involves the multiplication of three vectors so that the output is also a vector. Vector Triple Product involves three vectors— , , and , by taking the cross product of with the cross product of and the result, denoted as , emerges as a new vector.
This article covers the definition, formula, proof, and properties of the Vector Triple Product, offering a comprehensive exploration of its fundamental aspects. Additionally, we will address common questions and provide solved examples to enhance your understanding of this mathematical concept.
Table of Content
- Vector Triple Product Definition
- Vector Triple Product Formula
- Vector Triple Product Proof
- Properties of Vector Triple Product
- Examples on Vector Triple Product